Decay rates of Saint-Venant type for functionally graded heat-conducting materials. (June 2019)

• Record Type: Journal Article
• Authors: Leseduarte, M.C.; Quintanilla, R.
• Is Part Of: International journal of engineering science. Volume 139(2019:Jun.)
• Page Start: 24
• Page End: 41
• Publication Date: 2019-06
• Subjects: Functionally graded materials -- Heat conduction -- Spatial decay estimates; Engineering -- Periodicals; Ingénierie -- Périodiques; Engineering; Periodicals; 620
• DOI: 10.1016/j.ijengsci.2019.03.001
• Languages: English
• ISSNs: 0020-7225

Abstract

Abstract: This paper investigates decay rates for the spatial behaviour of solutions for functionally graded heat-conducting materials. From a mathematical point of view, we obtain a new inequality of Poincaré type. This new result allows us to give new decay rates for functionally graded materials when the inhomogeneity depends on the radial variable and the axial variable of the cylinder. The case when the cross-section is increasing is also considered. Besides, we propose to obtain estimates for the case of mixtures. Some pictures illustrate our estimates.